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Finding the Fourth Proportional to 398,405.81, 549,800.03 and 219,557.81

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Solution

The fourth proportional to 398,405.81, 549,800.03 and 219,557.81 is: 302,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,405.81 : 549,800.03 = 219,557.81 : x
  2. Step 2: Convert to fraction form
    398,405.81/549,800.03 = 219,557.81/x
  3. Step 3: Cross multiply
    398,405.81x = 549,800.03 × 219,557.81
  4. Step 4: Simplify right side
    398,405.81x = 120,712,892,448.13
  5. Step 5: Solve for x
    x = 120,712,892,448.13/398,405.81
  6. Step 6: Final answer
    x = 302,989.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.